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10246066040300 = 22521971268328309
BaseRepresentation
bin1001010100011001100100…
…1000000110110111101100
31100021111212221220020202112
42111012121020012313230
52320332420401242200
633442551110143152
72105153032232636
oct225063110066754
940244787806675
1010246066040300
1132a0372190102
12119590a951ab8
1359427a1a90bc
14275cab29ba56
1512b7cc6ce535
hex95199206dec

10246066040300 has 144 divisors (see below), whose sum is σ = 23743492819200. Its totient is φ = 3826471622400.

The previous prime is 10246066040297. The next prime is 10246066040303. The reversal of 10246066040300 is 304066064201.

It is an interprime number because it is at equal distance from previous prime (10246066040297) and next prime (10246066040303).

It is not an unprimeable number, because it can be changed into a prime (10246066040303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361922546 + ... + 361950854.

It is an arithmetic number, because the mean of its divisors is an integer number (164885366800).

Almost surely, 210246066040300 is an apocalyptic number.

10246066040300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10246066040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871746409600).

10246066040300 is an abundant number, since it is smaller than the sum of its proper divisors (13497426778900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10246066040300 is a wasteful number, since it uses less digits than its factorization.

10246066040300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31096 (or 31089 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 10246066040300 in words is "ten trillion, two hundred forty-six billion, sixty-six million, forty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 142 190 284 355 380 475 710 950 1349 1420 1775 1900 2683 2698 3550 5366 5396 6745 7100 10732 13415 13490 26830 26980 28309 33725 50977 53660 56618 67075 67450 101954 113236 134150 134900 141545 190493 203908 254885 268300 283090 380986 509770 537871 566180 707725 761972 952465 1019540 1075742 1274425 1415450 1904930 2009939 2151484 2548850 2689355 2830900 3619367 3809860 4019878 4762325 5097700 5378710 7238734 8039756 9524650 10049695 10757420 13446775 14477468 18096835 19049300 20099390 26893550 36193670 38188841 40198780 50248475 53787100 72387340 75953047 76377682 90484175 100496950 151906094 152755364 180968350 190944205 200993900 303812188 361936700 379765235 381888410 759530470 763776820 954721025 1443107893 1519060940 1898826175 1909442050 2886215786 3797652350 3818884100 5392666337 5772431572 7215539465 7595304700 10785332674 14431078930 21570665348 26963331685 28862157860 36077697325 53926663370 72155394650 102460660403 107853326740 134816658425 144310789300 204921320806 269633316850 409842641612 512303302015 539266633700 1024606604030 2049213208060 2561516510075 5123033020150 10246066040300